Exponential Function and Review

Which of the following statements are true about the function below? Select all that apply.
f\left(x\right)=0.5\left(2\right)^x-1

• The function represents exponential growth

Tags

CCSS.HSF-IF.C.7E

• Vertical Reflection over the x-axis

• Horizontal Reflection over the y-axis

• Vertical shift down 3

• Horizontal shift to the left 2

• Vertical dilation by a factor of 2

Tags

CCSS.HSF.BF.B.3

• Reflection about the x-axis

• Reflection about the y-axis

• Vertical Shift upward by 10

• Vertical shift to downward by 10

• Horizontal shift to the right by 10

Tags

CCSS.HSF.BF.B.3

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

Tags

CCSS.HSF.LE.A.2

The function shown is a(n)​ (a)   function.

This function shows ​ (b)   because the graph is decreasing.

The horizontal asymptote is at ​ (c)  

• exponential

• decay

• y=-1

• linear

• x=-1

• growth

Tags

CCSS.HSF-IF.C.7E

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.

Mathematical Equivalence

ON

Tags

A1.5.9.C

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

Tags

CCSS.HSF.LE.A.2

A shipping company started with 40 employees. The number of employees in the shipping company increases at a rate of 7.5% each year. What function can be used to model the number of employees, f(x), in the shipping company after x years?

Tags

CCSS.HSF.LE.A.2

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Tags

CCSS.HSF.LE.A.2